Question

In: Statistics and Probability

Because the marketplace already contains several successful nutrition bars, you need to develop an effective marketing...

Because the marketplace already contains several successful nutrition bars, you need to develop an effective marketing strategy. In particular, you need to determine the effect that price and various in-store promotions have on the sales of OmniPower. Before marketing the bar nationwide, you conduct a test-market study of OmniPower sales, using a sample of 34 stores in a national supermarket chain. You employ a number of different strategies across the stores, based on recommendations by a consultant, In-Store Placements Group. For example, the promotional budget is varied across the stores. Some stores spend $200 per month, others spend $400 per month, and still others spend $600 per month. In some stores, the products were placed on the endcap in the produce section. Other stores, placed the product on the endcap in the beverage section. In addition, some stores had coupon dispensers, while others did not. You hope that you can analyze the sales in these stores to understand which strategy seems to be the most effective.

In-Store Placements Group’s vice-president, Claire Deborahs has written you a letter touting a number of findings, based on her analysis of the test market data. You are charged with looking at the data to understand whether Ms. Deborah’s inferences are justified. Do a complete analysis using the tools you have learned in this class. Develop a deep understanding of the relationships present in the data. Develop a report for your company based on your findings. In addition, your president, Rosa Rodriguez wants you to write her a short brief describing your findings. It should include a discussion of the findings that Ms. Deborah highlighted in her letter and whether they are accurate. She will be meeting with Ms. Deborahs next week and wants to be prepared.

From the Desk of

Claire Deborahs, Vice President, Customer Relations

To my friends at OmniFoods Marketing:

As you know, in reviewing your test marketing of OmniPower bars, my colleagues and I at ISPG suggested how your sales could be enhanced. From our experience marketing similar products, we told you that the shelf locations of a product and the presence of in-store coupon dispensers can enhance supermarket sales.

We are happy to report the positive correlation of these factors and sales of OmniPower bars. You can see the effects, if you look through the data. I think the most striking thing is the only store with over 4000 unit sales and only 200 in promotional dollars was a store with coupon dispensers!

We can talk at a later time about extending our marketing agreement. In the meantime, congratulations on a successful test marketing venture.

Sincerely,

Claire Deborahs

Bars Price Promotion End-Cap Dispensers
4141 59 200 Produce Yes
3842 59 200 Produce Yes
3056 59 200 Beverage No
3519 59 200 Beverage Yes
4226 59 400 Produce No
4630 59 400 Beverage Yes
3507 59 400 Beverage Yes
3754 59 400 Produce Yes
5000 59 600 Produce No
5120 59 600 Produce No
4011 59 600 Beverage Yes
5015 59 600 Beverage No
1916 79 200 Beverage No
675 79 200 Beverage No
3636 79 200 Produce No
3224 79 200 Produce Yes
2295 79 400 Beverage No
2730 79 400 Beverage Yes
2618 79 400 Beverage No
4421 79 400 Produce Yes
4113 79 600 Produce Yes
3746 79 600 Beverage No
3532 79 600 Beverage No
3825 79 600 Beverage No
1096 99 200 Beverage Yes
761 99 200 Beverage Yes
2088 99 200 Produce Yes
820 99 200 Beverage Yes
2114 99 400 Produce Yes
1882 99 400 Beverage No
2159 99 400 Produce No
1602 99 400 Beverage Yes
3354 99 600 Produce No
2927 99 600 Produce No

Solutions

Expert Solution

The regression output is:

0.868
Adjusted R² 0.850
R   0.932
Std. Error   487.184
n   34
k   4
Dep. Var. Bars
ANOVA table
Source SS   df   MS F p-value
Regression 4,52,10,568.1501 4   1,13,02,642.0375 47.62 2.44E-12
Residual 68,83,109.2911 29   2,37,348.5962
Total 5,20,93,677.4412 33  
Regression output confidence interval
variables coefficients std. error    t (df=29) p-value 95% lower 95% upper
Intercept 5,432.8719
Price -53.0447 5.2357 -10.131 4.91E-11 -63.7530 -42.3364
Promotion 3.5650 0.5652 6.307 6.88E-07 2.4090 4.7210
End-Cap 815.3759 169.3097 4.816 4.23E-05 469.0987 1,161.6531
Dispensers 100.3259 180.4650 0.556 .5825 -268.7665 469.4183

The regression equation is:

Bars = 5,432.8719 -53.0447*Price + 3.5650*Promotion + 815.3759*End-Cap + 100.3259*Dispensers

86.8% of the variation in Bars is explained.

When the coupon dispensers are there and the end-cap is produced, the bars will see the maximum profit.

There is a strong positive relationship between the variables.


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